Chosen Fixed Point
Here is the data for the chosen fixed point.
$F_{UV}$ represents the flavor symmetries in the UV Lagrangian, and $F_{IR}$ represents the flavor symmetries in the IR. $F_{UV}$ and $F_{IR}$ can differ due to accidental symmetry enhancement.
The number of marginal operators, $n_{marginal}$, minus the dimension of flavor symmetries in IR, $|F_{IR}|$, corresponds to the coefficient of $t^6$ in the superconformal index.
| # | Theory | Superpotential | Central charge $a$ | Central charge $c$ | Ratio $a/c$ | Matter field: $R$-charge | U(1) part of $F_{UV}$ | Rank of $F_{UV}$ | Rational |
|---|---|---|---|---|---|---|---|---|---|
| 2398 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_4q_2\tilde{q}_2$ + $ M_1X_1$ + $ M_2M_5$ + $ M_6\phi_1\tilde{q}_1^2$ + $ M_7q_1\tilde{q}_2$ | 0.669 | 0.8463 | 0.7905 | [X:[1.5691], M:[0.4309, 1.1897, 0.7845, 0.8619, 0.8103, 0.7072, 0.8361], q:[0.7974, 0.7716], qb:[0.4438, 0.3665], phi:[0.4052]] | [X:[[12]], M:[[-12], [4], [6], [-24], [-4], [36], [-14]], q:[[1], [11]], qb:[[-17], [13]], phi:[[-2]]] | 1 | {a: 131507/196566, c: 332699/393132, X1: 284/181, M1: 78/181, M2: 646/543, M3: 142/181, M4: 156/181, M5: 440/543, M6: 128/181, M7: 454/543, q1: 433/543, q2: 419/543, qb1: 241/543, qb2: 199/543, phi1: 220/543} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_6$, $ M_3$, $ M_5$, $ \phi_1^2$, $ M_7$, $ M_4$, $ q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ q_1\tilde{q}_1$, $ M_6^2$, $ M_3M_6$, $ M_5M_6$, $ M_6\phi_1^2$, $ M_6M_7$, $ \phi_1q_2\tilde{q}_2$, $ M_3^2$, $ M_4M_6$, $ \phi_1q_1\tilde{q}_2$, $ X_1$, $ M_3M_5$, $ M_3\phi_1^2$, $ M_5^2$, $ M_3M_7$, $ M_5\phi_1^2$, $ \phi_1^4$, $ \phi_1q_2\tilde{q}_1$, $ M_3M_4$, $ M_5M_7$, $ M_7\phi_1^2$, $ \phi_1q_1\tilde{q}_1$, $ M_4M_5$, $ M_7^2$, $ M_4\phi_1^2$, $ M_4M_7$, $ M_4^2$, $ M_6q_2\tilde{q}_2$, $ M_3q_2\tilde{q}_2$, $ M_6\phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2^2$, $ M_6q_1\tilde{q}_1$, $ M_5q_2\tilde{q}_2$, $ \phi_1^2q_2\tilde{q}_2$ | $M_3\phi_1\tilde{q}_1\tilde{q}_2$ | -2 | t^2.12 + t^2.35 + 2*t^2.43 + t^2.51 + t^2.59 + t^3.41 + t^3.65 + t^3.72 + t^4.24 + t^4.48 + 2*t^4.55 + 2*t^4.63 + 3*t^4.71 + t^4.78 + 5*t^4.86 + 3*t^4.94 + 2*t^5.02 + t^5.09 + t^5.17 + t^5.54 + t^5.77 + 4*t^5.85 - 2*t^6. + 2*t^6.08 + 2*t^6.15 + t^6.31 + t^6.36 + t^6.6 + 2*t^6.67 + 2*t^6.75 + 4*t^6.83 + t^6.91 + 3*t^6.98 + 6*t^7.06 + 4*t^7.14 + 2*t^7.22 + 8*t^7.29 + 6*t^7.37 + 4*t^7.45 + 3*t^7.52 + 2*t^7.6 + t^7.66 + t^7.68 + t^7.76 + t^7.89 + 4*t^7.97 + t^8.04 - 2*t^8.12 + 5*t^8.28 - t^8.35 - 4*t^8.43 + t^8.49 - t^8.51 + t^8.72 + 2*t^8.8 + 2*t^8.87 + t^8.9 + 4*t^8.95 - t^4.22/y - t^6.34/y - t^6.57/y - t^6.65/y - t^6.72/y - t^6.8/y + t^7.48/y + (2*t^7.55)/y + (2*t^7.63)/y + (2*t^7.71)/y + (3*t^7.78)/y + (3*t^7.86)/y + (3*t^7.94)/y + (2*t^8.02)/y + (2*t^8.09)/y - t^8.46/y + t^8.54/y - t^8.69/y + t^8.77/y + (2*t^8.85)/y - t^8.92/y - t^4.22*y - t^6.34*y - t^6.57*y - t^6.65*y - t^6.72*y - t^6.8*y + t^7.48*y + 2*t^7.55*y + 2*t^7.63*y + 2*t^7.71*y + 3*t^7.78*y + 3*t^7.86*y + 3*t^7.94*y + 2*t^8.02*y + 2*t^8.09*y - t^8.46*y + t^8.54*y - t^8.69*y + t^8.77*y + 2*t^8.85*y - t^8.92*y | g1^36*t^2.12 + g1^6*t^2.35 + (2*t^2.43)/g1^4 + t^2.51/g1^14 + t^2.59/g1^24 + g1^24*t^3.41 + t^3.65/g1^6 + t^3.72/g1^16 + g1^72*t^4.24 + g1^42*t^4.48 + 2*g1^32*t^4.55 + 2*g1^22*t^4.63 + 3*g1^12*t^4.71 + g1^2*t^4.78 + (5*t^4.86)/g1^8 + (3*t^4.94)/g1^18 + (2*t^5.02)/g1^28 + t^5.09/g1^38 + t^5.17/g1^48 + g1^60*t^5.54 + g1^30*t^5.77 + 4*g1^20*t^5.85 - 2*t^6. + (2*t^6.08)/g1^10 + (2*t^6.15)/g1^20 + t^6.31/g1^40 + g1^108*t^6.36 + g1^78*t^6.6 + 2*g1^68*t^6.67 + 2*g1^58*t^6.75 + 4*g1^48*t^6.83 + g1^38*t^6.91 + 3*g1^28*t^6.98 + 6*g1^18*t^7.06 + 4*g1^8*t^7.14 + (2*t^7.22)/g1^2 + (8*t^7.29)/g1^12 + (6*t^7.37)/g1^22 + (4*t^7.45)/g1^32 + (3*t^7.52)/g1^42 + (2*t^7.6)/g1^52 + g1^96*t^7.66 + t^7.68/g1^62 + t^7.76/g1^72 + g1^66*t^7.89 + 4*g1^56*t^7.97 + g1^46*t^8.04 - 2*g1^36*t^8.12 + 5*g1^16*t^8.28 - g1^6*t^8.35 - (4*t^8.43)/g1^4 + g1^144*t^8.49 - t^8.51/g1^14 + g1^114*t^8.72 + 2*g1^104*t^8.8 + 2*g1^94*t^8.87 + t^8.9/g1^64 + 4*g1^84*t^8.95 - t^4.22/(g1^2*y) - (g1^34*t^6.34)/y - (g1^4*t^6.57)/y - t^6.65/(g1^6*y) - t^6.72/(g1^16*y) - t^6.8/(g1^26*y) + (g1^42*t^7.48)/y + (2*g1^32*t^7.55)/y + (2*g1^22*t^7.63)/y + (2*g1^12*t^7.71)/y + (3*g1^2*t^7.78)/y + (3*t^7.86)/(g1^8*y) + (3*t^7.94)/(g1^18*y) + (2*t^8.02)/(g1^28*y) + (2*t^8.09)/(g1^38*y) - (g1^70*t^8.46)/y + (g1^60*t^8.54)/y - (g1^40*t^8.69)/y + (g1^30*t^8.77)/y + (2*g1^20*t^8.85)/y - (g1^10*t^8.92)/y - (t^4.22*y)/g1^2 - g1^34*t^6.34*y - g1^4*t^6.57*y - (t^6.65*y)/g1^6 - (t^6.72*y)/g1^16 - (t^6.8*y)/g1^26 + g1^42*t^7.48*y + 2*g1^32*t^7.55*y + 2*g1^22*t^7.63*y + 2*g1^12*t^7.71*y + 3*g1^2*t^7.78*y + (3*t^7.86*y)/g1^8 + (3*t^7.94*y)/g1^18 + (2*t^8.02*y)/g1^28 + (2*t^8.09*y)/g1^38 - g1^70*t^8.46*y + g1^60*t^8.54*y - g1^40*t^8.69*y + g1^30*t^8.77*y + 2*g1^20*t^8.85*y - g1^10*t^8.92*y |
Deformation
Here is the data for the deformed fixed points from the chosen fixed point.
| # | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
|---|---|---|---|---|---|---|---|---|
| 4439 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_4q_2\tilde{q}_2$ + $ M_1X_1$ + $ M_2M_5$ + $ M_6\phi_1\tilde{q}_1^2$ + $ M_7q_1\tilde{q}_2$ + $ M_4M_8$ | 0.6578 | 0.829 | 0.7935 | [X:[1.5563], M:[0.4437, 1.1854, 0.7782, 0.8874, 0.8146, 0.6689, 0.851, 1.1126], q:[0.7964, 0.76], qb:[0.4619, 0.3527], phi:[0.4073]] | t^2.01 + t^2.33 + 2*t^2.44 + t^2.55 + 2*t^3.34 + t^3.67 + t^3.77 + t^4.01 + t^4.34 + 2*t^4.45 + 2*t^4.56 + 2*t^4.67 + t^4.78 + 5*t^4.89 + 2*t^5. + 2*t^5.34 + 2*t^5.67 + 6*t^5.78 + t^5.89 - 3*t^6. - t^4.22/y - t^4.22*y | detail | |
| 4433 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_4q_2\tilde{q}_2$ + $ M_1X_1$ + $ M_2M_5$ + $ M_6\phi_1\tilde{q}_1^2$ + $ M_7q_1\tilde{q}_2$ + $ M_6^2$ + $ M_4X_2$ | 0.5911 | 0.7404 | 0.7983 | [X:[1.6667, 1.3333], M:[0.3333, 1.2222, 0.8333, 0.6667, 0.7778, 1.0, 0.7222], q:[0.8056, 0.8611], qb:[0.3056, 0.4722], phi:[0.3889]] | t^2.17 + 2*t^2.33 + t^2.5 + t^3. + t^3.33 + t^3.5 + 2*t^4. + 2*t^4.5 + 5*t^4.67 + t^4.83 + 2*t^5. + 2*t^5.17 + 2*t^5.33 + 2*t^5.67 + 2*t^5.83 - 2*t^6. - t^4.17/y - t^4.17*y | detail | {a: 12257/20736, c: 15353/20736, X1: 5/3, X2: 4/3, M1: 1/3, M2: 11/9, M3: 5/6, M4: 2/3, M5: 7/9, M6: 1, M7: 13/18, q1: 29/36, q2: 31/36, qb1: 11/36, qb2: 17/36, phi1: 7/18} |
| 4440 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_4q_2\tilde{q}_2$ + $ M_1X_1$ + $ M_2M_5$ + $ M_6\phi_1\tilde{q}_1^2$ + $ M_7q_1\tilde{q}_2$ + $ M_8\phi_1\tilde{q}_1\tilde{q}_2$ | 0.6864 | 0.8774 | 0.7824 | [X:[1.567], M:[0.433, 1.189, 0.7835, 0.8661, 0.811, 0.7009, 0.8385, 0.7835], q:[0.7972, 0.7697], qb:[0.4468, 0.3642], phi:[0.4055]] | t^2.1 + 2*t^2.35 + 2*t^2.43 + t^2.52 + t^2.6 + t^3.4 + t^3.73 + t^4.21 + 2*t^4.45 + 2*t^4.54 + 2*t^4.62 + 5*t^4.7 + 3*t^4.78 + 6*t^4.87 + 4*t^4.95 + 2*t^5.03 + t^5.11 + t^5.2 + t^5.5 + t^5.75 + 4*t^5.83 - 3*t^6. - t^4.22/y - t^4.22*y | detail |
Equivalent Fixed Points from Other Seed Theories
Here is a list of equivalent fixed points from other gauge theories.
| # | Theory | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
|---|
Equivalent Fixed Points from the Same Seed Theory
Below is a list of equivalent fixed points from the same seed theories.
| id | Theory | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | More Info. | Rational |
|---|
Previous Theory
The previous fixed point before deforming to get the chosen fixed point.
| # | Theory | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
|---|---|---|---|---|---|---|---|---|---|
| 1355 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_4q_2\tilde{q}_2$ + $ M_1X_1$ + $ M_2M_5$ + $ M_6\phi_1\tilde{q}_1^2$ | 0.6552 | 0.8231 | 0.7959 | [X:[1.5625], M:[0.4375, 1.1875, 0.7812, 0.8751, 0.8125, 0.6874], q:[0.7969, 0.7656], qb:[0.4532, 0.3593], phi:[0.4063]] | t^2.06 + t^2.34 + 2*t^2.44 + t^2.63 + t^3.37 + t^3.47 + t^3.66 + t^3.75 + t^4.12 + t^4.41 + 2*t^4.5 + t^4.59 + 3*t^4.69 + t^4.78 + 4*t^4.88 + t^4.97 + t^5.06 + t^5.25 + t^5.44 + t^5.53 + t^5.72 + 5*t^5.81 + t^5.91 - 2*t^6. - t^4.22/y - t^4.22*y | detail |